Topological Complexity and Related Topics
Published on 30. March 2018
Book
Paperback/Softback
176 pages
978-1-4704-3436-6 (ISBN)
Description
This volume contains the proceedings of the mini-workshop on Topological Complexity and Related Topics, held from February 28-March 5, 2016, at the Mathematisches Forschungsinstitut Oberwolfach.
Topological complexity is a numerical homotopy invariant, defined by Farber in the early twenty-first century as part of a topological approach to the motion planning problem in robotics. It continues to be the subject of intensive research by homotopy theorists, partly due to its potential applicability, and partly due to its close relationship to more classical invariants, such as the Lusternik-Schnirelmann category and the Schwarz genus.
This volume contains survey articles and original research papers on topological complexity and its many generalizations and variants, to give a snapshot of contemporary research on this exciting topic at the interface of pure mathematics and engineering.
Topological complexity is a numerical homotopy invariant, defined by Farber in the early twenty-first century as part of a topological approach to the motion planning problem in robotics. It continues to be the subject of intensive research by homotopy theorists, partly due to its potential applicability, and partly due to its close relationship to more classical invariants, such as the Lusternik-Schnirelmann category and the Schwarz genus.
This volume contains survey articles and original research papers on topological complexity and its many generalizations and variants, to give a snapshot of contemporary research on this exciting topic at the interface of pure mathematics and engineering.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
272 gr
ISBN-13
978-1-4704-3436-6 (9781470434366)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Mark Grant, University of Aberdeen, United Kingdom.
Gregory Lupton, Cleveland State University, OH.
Lucile Vandembroucq, University of Minho, Braga, Portugal.
Gregory Lupton, Cleveland State University, OH.
Lucile Vandembroucq, University of Minho, Braga, Portugal.
Content
Survey Articles: A. Angel and H. Colman, Equivariant topological complexities
J. Carrasquel, Rational methods applied to sectional category and topological complexity
D. C. Cohen, Topological complexity of classical configuration spaces and related objects
P. Pavesic, A topologist's view of kinematic maps and manipulation complexity
Research Articles: D. M. Davis, On the cohomology classes of planar polygon spaces
J.-P. Doeraene, M. El Haouari, and C. Ribeiro, Sectional category of a class of maps
L. Fernandez Suarez and L. Vandembroucq, Q-topological complexity
N. Fieldsteel, Topological complexity of graphic arrangements
J. Gonzalez, M. Grant, and L. Vandembroucq, Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes
J. Gonzalez and B. Gutierrez, Topological complexity of collision-free multi-tasking motion planning on orientable surfaces
M. Grant and D. Recio-Mitter, Topological complexity of subgroups of Artin's braid groups.
J. Carrasquel, Rational methods applied to sectional category and topological complexity
D. C. Cohen, Topological complexity of classical configuration spaces and related objects
P. Pavesic, A topologist's view of kinematic maps and manipulation complexity
Research Articles: D. M. Davis, On the cohomology classes of planar polygon spaces
J.-P. Doeraene, M. El Haouari, and C. Ribeiro, Sectional category of a class of maps
L. Fernandez Suarez and L. Vandembroucq, Q-topological complexity
N. Fieldsteel, Topological complexity of graphic arrangements
J. Gonzalez, M. Grant, and L. Vandembroucq, Hopf invariants, topological complexity, and LS-category of the cofiber of the diagonal map for two-cell complexes
J. Gonzalez and B. Gutierrez, Topological complexity of collision-free multi-tasking motion planning on orientable surfaces
M. Grant and D. Recio-Mitter, Topological complexity of subgroups of Artin's braid groups.